Question

what is the value of w?

Explanation:

Step1: Recall angle - sum property

The sum of angles on a straight - line is 180°.

Step2: Set up the equation

We know that \(w + 31^{\circ}+59^{\circ}=180^{\circ}\).

Step3: Simplify the left - hand side

First, add \(31^{\circ}\) and \(59^{\circ}\): \(31^{\circ}+59^{\circ}=90^{\circ}\). So the equation becomes \(w + 90^{\circ}=180^{\circ}\).

Step4: Solve for \(w\)

Subtract \(90^{\circ}\) from both sides of the equation: \(w=180^{\circ}-90^{\circ}\).

Answer:

\(90\)